and the Rydberg constant which is known with relative precision \(1.2\times 10^{-12}\)  from the last CODATA adjustment [1]} and the only parameters determining the transition frequencies in HD\(^+\) . The latter may be used in our analysis as an exact constant. The uncertainty in other fundamental constants like \(r_p\)  and \(r_d\)  contribute to the relative level much below \(10^{-12}\) .
